Question

`4\sqrt6 +2\sqrt6 -\sqrt6` Simiplify this equation 

A 5√6
B 5√18
C 6√6
D 6√18

Answer 1

Given expression :
`4\sqrt6 +2\sqrt6 -\sqrt6`.

We need to simplify it.

We can see we have all like radicals of
`\sqrt6`.

So, we can just add or subtract the front numbers of
`\sqrt6`.

Adding 4 + 2 we get 6.

Therefore,
`4\sqrt6 +2\sqrt6 = 6\sqrt6`.

Now,
`-\sqrt6 = -1\sqrt6`.

Therefore,

`4\sqrt6 +2\sqrt6 -\sqrt6 =6\sqrt6 -1\sqrt6`.

Now, we can subtract 6 -1, we get 5.

`6\sqrt6 -1\sqrt6 = 5 \sqrt6`.

Therefore, correct option is A option: 5√6.